Answer:
Step-by-step explanation:
1) since the sixth term is 3 and the fifth term 24, the common ratio would be 3/24 = 1/8
The formula for finding the nth term of a geometric sequence is
Tn = ar^(n - 1)
If t6 = 3,r = 1/8, then
3 = a × 1/8^(6 - 1) = a × (1/8)^5
a = 3/(0.125)^5 = 98304
The first term is 98304.
Second term is 98304 × 1/8 = 12288
Third term is 12288 × 1/8 = 1536
Third term is 1536 × 1/8 = 192
2) t1 = 4
t2 = - 3t(2- 1) = - 3t1 = - 3 × 4 = - 12
t3 = - 3t(3- 1) = - 3t2 = - 3 × - 12 = 36
t4 = - 3t(4- 1) = - 3t3 = - 3 × 36 = - 108
3) let the numbers be t2,t3 and t4
The sequence becomes
1/2, t2,t3, t4,8
The formula for finding the nth term of a geometric sequence is
Tn = ar^(n - 1)
8 = 1/2 × r^(5 - 1)
8 = 1/2 × r^4
16 = r^4
2^4 = r^4
r = 2
t2 = 1/2 × 2 = 1
t3 = 1 × 2 = 2
t4 = 2 × 2 = 4
Answer:
Which function has an inverse that is also a function
Take 5/6 x 4/1 and multiply 5x4 and 6x1 to get 20/6. 6 goes into 20 3 times, with 2/6 leftover. Reduce 2/6 to 1/3 and your final answer is 3 1/3.
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▹ Answer
<em>4115</em>
▹ Step-by-Step Explanation
1 + 1 + 4⁶ + 7 + 5 + 2 + 1 + 1 + 1
1 + 1 + (2²)⁶ + 7 + 5 + 2 + 1 + 1 + 1
= 4115
Hope this helps!
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